%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP026+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:56:37 PM UTC 2026
% Result : Theorem 5.25s 5.52s
% Output : CNFRefutation 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 158
% Syntax : Number of formulae : 526 ( 125 unt; 0 def)
% Number of atoms : 1672 ( 151 equ)
% Maximal formula atoms : 60 ( 3 avg)
% Number of connectives : 1976 ( 830 ~; 791 |; 253 &)
% ( 1 <=>; 101 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 8 con; 0-3 aty)
% Number of variables : 869 ( 57 sgn 253 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t5_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_2) ).
fof(t7_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tsp_2) ).
fof(dt_k3_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_tex_4) ).
fof(rc7_pre_topc,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& v4_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc7_pre_topc) ).
fof(rc3_tops_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_tops_1) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(rc1_membered,axiom,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_membered) ).
fof(rc3_struct_0,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(dt_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(commutativity_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k5_subset_1(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k5_subset_1) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(cc6_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v3_pre_topc(X2,X1)
& v3_tops_1(X2,X1) )
=> ( v1_xboole_0(X2)
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1)
& v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2)
& v2_tops_1(X2,X1)
& v3_tops_1(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_tops_1) ).
fof(cc5_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v4_pre_topc(X2,X1)
& v2_tops_1(X2,X1) )
=> ( v2_tops_1(X2,X1)
& v3_tops_1(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_tops_1) ).
fof(idempotence_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X2) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k5_subset_1) ).
fof(dt_k6_pre_topc,axiom,
! [X1,X2] :
( ( l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(fc2_tops_1,axiom,
! [X1,X2] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v4_pre_topc(k6_pre_topc(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_tops_1) ).
fof(cc4_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_tops_1(X2,X1)
=> v2_tops_1(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_tops_1) ).
fof(cc1_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_xboole_0(X2)
=> ( v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_tops_1) ).
fof(cc3_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_xboole_0(X2)
=> v3_tops_1(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_tops_1) ).
fof(cc2_tops_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_xboole_0(X2)
=> v2_tops_1(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_tops_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(rc6_pre_topc,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v4_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc6_pre_topc) ).
fof(rc5_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_xboole_0(X2)
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1)
& v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2)
& v2_tops_1(X2,X1)
& v3_tops_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_tops_1) ).
fof(rc2_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_tops_1) ).
fof(rc1_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_tops_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(rc4_tops_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_xboole_0(X2)
& v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2)
& v2_tops_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_tops_1) ).
fof(cc20_membered,axiom,
! [X1] :
( v5_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc20_membered) ).
fof(cc19_membered,axiom,
! [X1] :
( v4_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc19_membered) ).
fof(cc18_membered,axiom,
! [X1] :
( v3_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc18_membered) ).
fof(cc17_membered,axiom,
! [X1] :
( v2_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> ( v1_membered(X2)
& v2_membered(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc17_membered) ).
fof(cc16_membered,axiom,
! [X1] :
( v1_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
=> v1_membered(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc16_membered) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(fc35_membered,axiom,
! [X1,X2] :
( v5_membered(X1)
=> ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2))
& v3_membered(k3_xboole_0(X1,X2))
& v4_membered(k3_xboole_0(X1,X2))
& v5_membered(k3_xboole_0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc35_membered) ).
fof(fc36_membered,axiom,
! [X1,X2] :
( v5_membered(X1)
=> ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1))
& v3_membered(k3_xboole_0(X2,X1))
& v4_membered(k3_xboole_0(X2,X1))
& v5_membered(k3_xboole_0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc36_membered) ).
fof(fc33_membered,axiom,
! [X1,X2] :
( v4_membered(X1)
=> ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2))
& v3_membered(k3_xboole_0(X1,X2))
& v4_membered(k3_xboole_0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc33_membered) ).
fof(fc34_membered,axiom,
! [X1,X2] :
( v4_membered(X1)
=> ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1))
& v3_membered(k3_xboole_0(X2,X1))
& v4_membered(k3_xboole_0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc34_membered) ).
fof(fc31_membered,axiom,
! [X1,X2] :
( v3_membered(X1)
=> ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2))
& v3_membered(k3_xboole_0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc31_membered) ).
fof(fc32_membered,axiom,
! [X1,X2] :
( v3_membered(X1)
=> ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1))
& v3_membered(k3_xboole_0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc32_membered) ).
fof(fc29_membered,axiom,
! [X1,X2] :
( v2_membered(X1)
=> ( v1_membered(k3_xboole_0(X1,X2))
& v2_membered(k3_xboole_0(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc29_membered) ).
fof(fc30_membered,axiom,
! [X1,X2] :
( v2_membered(X1)
=> ( v1_membered(k3_xboole_0(X2,X1))
& v2_membered(k3_xboole_0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc30_membered) ).
fof(fc27_membered,axiom,
! [X1,X2] :
( v1_membered(X1)
=> v1_membered(k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc27_membered) ).
fof(fc28_membered,axiom,
! [X1,X2] :
( v1_membered(X1)
=> v1_membered(k3_xboole_0(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc28_membered) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(cc14_membered,axiom,
! [X1] :
( v5_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_xcmplx_0(X2)
& v4_ordinal2(X2)
& v1_xreal_0(X2)
& v1_int_1(X2)
& v1_rat_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc14_membered) ).
fof(cc13_membered,axiom,
! [X1] :
( v4_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2)
& v1_int_1(X2)
& v1_rat_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc13_membered) ).
fof(cc12_membered,axiom,
! [X1] :
( v3_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2)
& v1_rat_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc12_membered) ).
fof(cc11_membered,axiom,
! [X1] :
( v2_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> ( v1_xcmplx_0(X2)
& v1_xreal_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc11_membered) ).
fof(cc10_membered,axiom,
! [X1] :
( v1_membered(X1)
=> ! [X2] :
( m1_subset_1(X2,X1)
=> v1_xcmplx_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc10_membered) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(idempotence_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(t2_boole,axiom,
! [X1] : k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(cc15_membered,axiom,
! [X1] :
( v1_xboole_0(X1)
=> ( v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc15_membered) ).
fof(cc1_membered,axiom,
! [X1] :
( v5_membered(X1)
=> v4_membered(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_membered) ).
fof(cc2_membered,axiom,
! [X1] :
( v4_membered(X1)
=> v3_membered(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_membered) ).
fof(cc3_membered,axiom,
! [X1] :
( v3_membered(X1)
=> v2_membered(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc3_membered) ).
fof(cc4_membered,axiom,
! [X1] :
( v2_membered(X1)
=> v1_membered(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc4_membered) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(existence_l1_struct_0,axiom,
? [X1] : l1_struct_0(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(existence_l1_pre_topc,axiom,
? [X1] : l1_pre_topc(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
fof(fc6_membered,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(i_0_72,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t5_tsp_2]) ).
fof(i_0_73,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t7_tsp_2])]) ).
fof(i_0_74,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k3_tex_4]) ).
fof(i_0_75,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& v4_pre_topc(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[rc7_pre_topc]) ).
fof(i_0_76,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2)
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[rc3_tops_1]) ).
fof(i_0_77,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(i_0_78,plain,
! [X1,X2] :
( r2_hidden(X1,X2)
=> ~ r2_hidden(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_79,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(i_0_80,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(i_0_81,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(i_0_82,plain,
? [X1] :
( ~ v1_xboole_0(X1)
& v1_membered(X1)
& v2_membered(X1)
& v3_membered(X1)
& v4_membered(X1)
& v5_membered(X1) ),
inference(fof_simplification,[status(thm)],[rc1_membered]) ).
fof(i_0_83,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[rc3_struct_0]) ).
fof(i_0_84,plain,
! [X271,X272,X273] :
( v3_struct_0(X271)
| ~ v2_pre_topc(X271)
| ~ l1_pre_topc(X271)
| ~ m1_subset_1(X272,k1_zfmisc_1(u1_struct_0(X271)))
| ~ v1_tsp_2(X272,X271)
| ~ m1_subset_1(X273,k1_zfmisc_1(u1_struct_0(X271)))
| ~ v4_pre_topc(X273,X271)
| X273 = k3_tex_4(X271,k5_subset_1(u1_struct_0(X271),X272,X273)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])])]) ).
fof(i_0_85,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& v1_tsp_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])])]) ).
fof(i_0_86,plain,
! [X258,X259,X260] :
( ~ m1_subset_1(X259,k1_zfmisc_1(X258))
| ~ m1_subset_1(X260,k1_zfmisc_1(X258))
| m1_subset_1(k5_subset_1(X258,X259,X260),k1_zfmisc_1(X258)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_subset_1])]) ).
fof(i_0_87,plain,
! [X244,X245,X246] :
( ~ m1_subset_1(X245,k1_zfmisc_1(X244))
| ~ m1_subset_1(X246,k1_zfmisc_1(X244))
| k5_subset_1(X244,X245,X246) = k5_subset_1(X244,X246,X245) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k5_subset_1])]) ).
fof(i_0_88,plain,
! [X253,X254,X255] :
( ~ m1_subset_1(X254,k1_zfmisc_1(X253))
| ~ m1_subset_1(X255,k1_zfmisc_1(X253))
| k5_subset_1(X253,X254,X255) = k3_xboole_0(X254,X255) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
fof(i_0_89,plain,
! [X173,X174] :
( ( v1_xboole_0(X174)
| ~ v3_pre_topc(X174,X173)
| ~ v3_tops_1(X174,X173)
| ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
| ~ v2_pre_topc(X173)
| ~ l1_pre_topc(X173) )
& ( v3_pre_topc(X174,X173)
| ~ v3_pre_topc(X174,X173)
| ~ v3_tops_1(X174,X173)
| ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
| ~ v2_pre_topc(X173)
| ~ l1_pre_topc(X173) )
& ( v4_pre_topc(X174,X173)
| ~ v3_pre_topc(X174,X173)
| ~ v3_tops_1(X174,X173)
| ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
| ~ v2_pre_topc(X173)
| ~ l1_pre_topc(X173) )
& ( v1_membered(X174)
| ~ v3_pre_topc(X174,X173)
| ~ v3_tops_1(X174,X173)
| ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
| ~ v2_pre_topc(X173)
| ~ l1_pre_topc(X173) )
& ( v2_membered(X174)
| ~ v3_pre_topc(X174,X173)
| ~ v3_tops_1(X174,X173)
| ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
| ~ v2_pre_topc(X173)
| ~ l1_pre_topc(X173) )
& ( v3_membered(X174)
| ~ v3_pre_topc(X174,X173)
| ~ v3_tops_1(X174,X173)
| ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
| ~ v2_pre_topc(X173)
| ~ l1_pre_topc(X173) )
& ( v4_membered(X174)
| ~ v3_pre_topc(X174,X173)
| ~ v3_tops_1(X174,X173)
| ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
| ~ v2_pre_topc(X173)
| ~ l1_pre_topc(X173) )
& ( v5_membered(X174)
| ~ v3_pre_topc(X174,X173)
| ~ v3_tops_1(X174,X173)
| ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
| ~ v2_pre_topc(X173)
| ~ l1_pre_topc(X173) )
& ( v2_tops_1(X174,X173)
| ~ v3_pre_topc(X174,X173)
| ~ v3_tops_1(X174,X173)
| ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
| ~ v2_pre_topc(X173)
| ~ l1_pre_topc(X173) )
& ( v3_tops_1(X174,X173)
| ~ v3_pre_topc(X174,X173)
| ~ v3_tops_1(X174,X173)
| ~ m1_subset_1(X174,k1_zfmisc_1(u1_struct_0(X173)))
| ~ v2_pre_topc(X173)
| ~ l1_pre_topc(X173) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc6_tops_1])])])]) ).
fof(i_0_90,plain,
! [X171,X172] :
( ( v2_tops_1(X172,X171)
| ~ v4_pre_topc(X172,X171)
| ~ v2_tops_1(X172,X171)
| ~ m1_subset_1(X172,k1_zfmisc_1(u1_struct_0(X171)))
| ~ v2_pre_topc(X171)
| ~ l1_pre_topc(X171) )
& ( v3_tops_1(X172,X171)
| ~ v4_pre_topc(X172,X171)
| ~ v2_tops_1(X172,X171)
| ~ m1_subset_1(X172,k1_zfmisc_1(u1_struct_0(X171)))
| ~ v2_pre_topc(X171)
| ~ l1_pre_topc(X171) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_tops_1])])])]) ).
fof(i_0_91,plain,
! [X256,X257] :
( v3_struct_0(X256)
| ~ l1_pre_topc(X256)
| ~ m1_subset_1(X257,k1_zfmisc_1(u1_struct_0(X256)))
| m1_subset_1(k3_tex_4(X256,X257),k1_zfmisc_1(u1_struct_0(X256))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])]) ).
fof(i_0_92,plain,
! [X247,X248,X249] :
( ~ m1_subset_1(X248,k1_zfmisc_1(X247))
| ~ m1_subset_1(X249,k1_zfmisc_1(X247))
| k5_subset_1(X247,X248,X248) = X248 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[idempotence_k5_subset_1])]) ).
fof(i_0_93,plain,
! [X261,X262] :
( ~ l1_pre_topc(X261)
| ~ m1_subset_1(X262,k1_zfmisc_1(u1_struct_0(X261)))
| m1_subset_1(k6_pre_topc(X261,X262),k1_zfmisc_1(u1_struct_0(X261))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])]) ).
fof(i_0_94,plain,
! [X265,X266] :
( ~ v2_pre_topc(X265)
| ~ l1_pre_topc(X265)
| ~ m1_subset_1(X266,k1_zfmisc_1(u1_struct_0(X265)))
| v4_pre_topc(k6_pre_topc(X265,X266),X265) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_tops_1])]) ).
fof(i_0_95,plain,
! [X169,X170] :
( ~ v2_pre_topc(X169)
| ~ l1_pre_topc(X169)
| ~ m1_subset_1(X170,k1_zfmisc_1(u1_struct_0(X169)))
| ~ v3_tops_1(X170,X169)
| v2_tops_1(X170,X169) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_tops_1])])]) ).
fof(i_0_96,plain,
! [X221,X222] :
( ( v3_pre_topc(X222,X221)
| ~ v1_xboole_0(X222)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(X221)))
| ~ v2_pre_topc(X221)
| ~ l1_pre_topc(X221) )
& ( v4_pre_topc(X222,X221)
| ~ v1_xboole_0(X222)
| ~ m1_subset_1(X222,k1_zfmisc_1(u1_struct_0(X221)))
| ~ v2_pre_topc(X221)
| ~ l1_pre_topc(X221) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_tops_1])])])]) ).
fof(i_0_97,plain,
! [X225,X226] :
( ~ v2_pre_topc(X225)
| ~ l1_pre_topc(X225)
| ~ m1_subset_1(X226,k1_zfmisc_1(u1_struct_0(X225)))
| ~ v1_xboole_0(X226)
| v3_tops_1(X226,X225) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_tops_1])])]) ).
fof(i_0_98,plain,
! [X223,X224] :
( ~ l1_pre_topc(X223)
| ~ m1_subset_1(X224,k1_zfmisc_1(u1_struct_0(X223)))
| ~ v1_xboole_0(X224)
| v2_tops_1(X224,X223) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_tops_1])])]) ).
fof(i_0_99,plain,
! [X209,X210,X211] :
( ~ r2_hidden(X209,X210)
| ~ m1_subset_1(X210,k1_zfmisc_1(X211))
| m1_subset_1(X209,X211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_100,plain,
! [X212,X213,X214] :
( ~ r2_hidden(X212,X213)
| ~ m1_subset_1(X213,k1_zfmisc_1(X214))
| ~ v1_xboole_0(X214) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_101,plain,
! [X235] :
( ( m1_subset_1(esk15_1(X235),k1_zfmisc_1(u1_struct_0(X235)))
| v3_struct_0(X235)
| ~ v2_pre_topc(X235)
| ~ l1_pre_topc(X235) )
& ( ~ v1_xboole_0(esk15_1(X235))
| v3_struct_0(X235)
| ~ v2_pre_topc(X235)
| ~ l1_pre_topc(X235) )
& ( v4_pre_topc(esk15_1(X235),X235)
| v3_struct_0(X235)
| ~ v2_pre_topc(X235)
| ~ l1_pre_topc(X235) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_75])])])]) ).
fof(i_0_102,plain,
! [X200] :
( ( m1_subset_1(esk7_1(X200),k1_zfmisc_1(u1_struct_0(X200)))
| v3_struct_0(X200)
| ~ v2_pre_topc(X200)
| ~ l1_pre_topc(X200) )
& ( ~ v1_xboole_0(esk7_1(X200))
| v3_struct_0(X200)
| ~ v2_pre_topc(X200)
| ~ l1_pre_topc(X200) )
& ( v3_pre_topc(esk7_1(X200),X200)
| v3_struct_0(X200)
| ~ v2_pre_topc(X200)
| ~ l1_pre_topc(X200) )
& ( v4_pre_topc(esk7_1(X200),X200)
| v3_struct_0(X200)
| ~ v2_pre_topc(X200)
| ~ l1_pre_topc(X200) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_76])])])]) ).
fof(i_0_103,plain,
! [X267] :
( ( m1_subset_1(esk18_1(X267),k1_zfmisc_1(u1_struct_0(X267)))
| ~ v2_pre_topc(X267)
| ~ l1_pre_topc(X267) )
& ( v4_pre_topc(esk18_1(X267),X267)
| ~ v2_pre_topc(X267)
| ~ l1_pre_topc(X267) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc6_pre_topc])])])]) ).
fof(i_0_104,plain,
! [X204] :
( ( m1_subset_1(esk9_1(X204),k1_zfmisc_1(u1_struct_0(X204)))
| ~ v2_pre_topc(X204)
| ~ l1_pre_topc(X204) )
& ( v1_xboole_0(esk9_1(X204))
| ~ v2_pre_topc(X204)
| ~ l1_pre_topc(X204) )
& ( v3_pre_topc(esk9_1(X204),X204)
| ~ v2_pre_topc(X204)
| ~ l1_pre_topc(X204) )
& ( v4_pre_topc(esk9_1(X204),X204)
| ~ v2_pre_topc(X204)
| ~ l1_pre_topc(X204) )
& ( v1_membered(esk9_1(X204))
| ~ v2_pre_topc(X204)
| ~ l1_pre_topc(X204) )
& ( v2_membered(esk9_1(X204))
| ~ v2_pre_topc(X204)
| ~ l1_pre_topc(X204) )
& ( v3_membered(esk9_1(X204))
| ~ v2_pre_topc(X204)
| ~ l1_pre_topc(X204) )
& ( v4_membered(esk9_1(X204))
| ~ v2_pre_topc(X204)
| ~ l1_pre_topc(X204) )
& ( v5_membered(esk9_1(X204))
| ~ v2_pre_topc(X204)
| ~ l1_pre_topc(X204) )
& ( v2_tops_1(esk9_1(X204),X204)
| ~ v2_pre_topc(X204)
| ~ l1_pre_topc(X204) )
& ( v3_tops_1(esk9_1(X204),X204)
| ~ v2_pre_topc(X204)
| ~ l1_pre_topc(X204) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc5_tops_1])])])]) ).
fof(i_0_105,plain,
! [X198] :
( ( m1_subset_1(esk6_1(X198),k1_zfmisc_1(u1_struct_0(X198)))
| ~ v2_pre_topc(X198)
| ~ l1_pre_topc(X198) )
& ( v3_pre_topc(esk6_1(X198),X198)
| ~ v2_pre_topc(X198)
| ~ l1_pre_topc(X198) )
& ( v4_pre_topc(esk6_1(X198),X198)
| ~ v2_pre_topc(X198)
| ~ l1_pre_topc(X198) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc2_tops_1])])])]) ).
fof(i_0_106,plain,
! [X196] :
( ( m1_subset_1(esk5_1(X196),k1_zfmisc_1(u1_struct_0(X196)))
| ~ v2_pre_topc(X196)
| ~ l1_pre_topc(X196) )
& ( v3_pre_topc(esk5_1(X196),X196)
| ~ v2_pre_topc(X196)
| ~ l1_pre_topc(X196) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc1_tops_1])])])]) ).
fof(i_0_107,plain,
! [X233] :
( ( m1_subset_1(esk14_1(X233),k1_zfmisc_1(u1_struct_0(X233)))
| v3_struct_0(X233)
| ~ l1_struct_0(X233) )
& ( ~ v1_xboole_0(esk14_1(X233))
| v3_struct_0(X233)
| ~ l1_struct_0(X233) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_77])])])]) ).
fof(i_0_108,plain,
! [X269,X270] :
( ( ~ m1_subset_1(X269,k1_zfmisc_1(X270))
| r1_tarski(X269,X270) )
& ( ~ r1_tarski(X269,X270)
| m1_subset_1(X269,k1_zfmisc_1(X270)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_109,plain,
! [X202] :
( ( m1_subset_1(esk8_1(X202),k1_zfmisc_1(u1_struct_0(X202)))
| ~ l1_pre_topc(X202) )
& ( v1_xboole_0(esk8_1(X202))
| ~ l1_pre_topc(X202) )
& ( v1_membered(esk8_1(X202))
| ~ l1_pre_topc(X202) )
& ( v2_membered(esk8_1(X202))
| ~ l1_pre_topc(X202) )
& ( v3_membered(esk8_1(X202))
| ~ l1_pre_topc(X202) )
& ( v4_membered(esk8_1(X202))
| ~ l1_pre_topc(X202) )
& ( v5_membered(esk8_1(X202))
| ~ l1_pre_topc(X202) )
& ( v2_tops_1(esk8_1(X202),X202)
| ~ l1_pre_topc(X202) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc4_tops_1])])])]) ).
fof(i_0_110,plain,
! [X143,X144] :
( ~ r2_hidden(X143,X144)
| ~ r2_hidden(X144,X143) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_78])]) ).
fof(i_0_111,plain,
! [X164,X165] :
( ( v1_membered(X165)
| ~ m1_subset_1(X165,k1_zfmisc_1(X164))
| ~ v5_membered(X164) )
& ( v2_membered(X165)
| ~ m1_subset_1(X165,k1_zfmisc_1(X164))
| ~ v5_membered(X164) )
& ( v3_membered(X165)
| ~ m1_subset_1(X165,k1_zfmisc_1(X164))
| ~ v5_membered(X164) )
& ( v4_membered(X165)
| ~ m1_subset_1(X165,k1_zfmisc_1(X164))
| ~ v5_membered(X164) )
& ( v5_membered(X165)
| ~ m1_subset_1(X165,k1_zfmisc_1(X164))
| ~ v5_membered(X164) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc20_membered])])])]) ).
fof(i_0_112,plain,
! [X161,X162] :
( ( v1_membered(X162)
| ~ m1_subset_1(X162,k1_zfmisc_1(X161))
| ~ v4_membered(X161) )
& ( v2_membered(X162)
| ~ m1_subset_1(X162,k1_zfmisc_1(X161))
| ~ v4_membered(X161) )
& ( v3_membered(X162)
| ~ m1_subset_1(X162,k1_zfmisc_1(X161))
| ~ v4_membered(X161) )
& ( v4_membered(X162)
| ~ m1_subset_1(X162,k1_zfmisc_1(X161))
| ~ v4_membered(X161) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc19_membered])])])]) ).
fof(i_0_113,plain,
! [X159,X160] :
( ( v1_membered(X160)
| ~ m1_subset_1(X160,k1_zfmisc_1(X159))
| ~ v3_membered(X159) )
& ( v2_membered(X160)
| ~ m1_subset_1(X160,k1_zfmisc_1(X159))
| ~ v3_membered(X159) )
& ( v3_membered(X160)
| ~ m1_subset_1(X160,k1_zfmisc_1(X159))
| ~ v3_membered(X159) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc18_membered])])])]) ).
fof(i_0_114,plain,
! [X157,X158] :
( ( v1_membered(X158)
| ~ m1_subset_1(X158,k1_zfmisc_1(X157))
| ~ v2_membered(X157) )
& ( v2_membered(X158)
| ~ m1_subset_1(X158,k1_zfmisc_1(X157))
| ~ v2_membered(X157) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc17_membered])])])]) ).
fof(i_0_115,plain,
! [X155,X156] :
( ~ v1_membered(X155)
| ~ m1_subset_1(X156,k1_zfmisc_1(X155))
| v1_membered(X156) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc16_membered])])]) ).
fof(i_0_116,plain,
! [X237,X238] :
( ~ m1_subset_1(X237,X238)
| v1_xboole_0(X238)
| r2_hidden(X237,X238) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_117,plain,
! [X191,X192] :
( ( v1_membered(k3_xboole_0(X191,X192))
| ~ v5_membered(X191) )
& ( v2_membered(k3_xboole_0(X191,X192))
| ~ v5_membered(X191) )
& ( v3_membered(k3_xboole_0(X191,X192))
| ~ v5_membered(X191) )
& ( v4_membered(k3_xboole_0(X191,X192))
| ~ v5_membered(X191) )
& ( v5_membered(k3_xboole_0(X191,X192))
| ~ v5_membered(X191) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc35_membered])])]) ).
fof(i_0_118,plain,
! [X193,X194] :
( ( v1_membered(k3_xboole_0(X194,X193))
| ~ v5_membered(X193) )
& ( v2_membered(k3_xboole_0(X194,X193))
| ~ v5_membered(X193) )
& ( v3_membered(k3_xboole_0(X194,X193))
| ~ v5_membered(X193) )
& ( v4_membered(k3_xboole_0(X194,X193))
| ~ v5_membered(X193) )
& ( v5_membered(k3_xboole_0(X194,X193))
| ~ v5_membered(X193) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc36_membered])])]) ).
fof(i_0_119,plain,
! [X187,X188] :
( ( v1_membered(k3_xboole_0(X187,X188))
| ~ v4_membered(X187) )
& ( v2_membered(k3_xboole_0(X187,X188))
| ~ v4_membered(X187) )
& ( v3_membered(k3_xboole_0(X187,X188))
| ~ v4_membered(X187) )
& ( v4_membered(k3_xboole_0(X187,X188))
| ~ v4_membered(X187) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc33_membered])])]) ).
fof(i_0_120,plain,
! [X189,X190] :
( ( v1_membered(k3_xboole_0(X190,X189))
| ~ v4_membered(X189) )
& ( v2_membered(k3_xboole_0(X190,X189))
| ~ v4_membered(X189) )
& ( v3_membered(k3_xboole_0(X190,X189))
| ~ v4_membered(X189) )
& ( v4_membered(k3_xboole_0(X190,X189))
| ~ v4_membered(X189) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc34_membered])])]) ).
fof(i_0_121,plain,
! [X183,X184] :
( ( v1_membered(k3_xboole_0(X183,X184))
| ~ v3_membered(X183) )
& ( v2_membered(k3_xboole_0(X183,X184))
| ~ v3_membered(X183) )
& ( v3_membered(k3_xboole_0(X183,X184))
| ~ v3_membered(X183) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc31_membered])])]) ).
fof(i_0_122,plain,
! [X185,X186] :
( ( v1_membered(k3_xboole_0(X186,X185))
| ~ v3_membered(X185) )
& ( v2_membered(k3_xboole_0(X186,X185))
| ~ v3_membered(X185) )
& ( v3_membered(k3_xboole_0(X186,X185))
| ~ v3_membered(X185) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc32_membered])])]) ).
fof(i_0_123,plain,
! [X179,X180] :
( ( v1_membered(k3_xboole_0(X179,X180))
| ~ v2_membered(X179) )
& ( v2_membered(k3_xboole_0(X179,X180))
| ~ v2_membered(X179) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc29_membered])])]) ).
fof(i_0_124,plain,
! [X181,X182] :
( ( v1_membered(k3_xboole_0(X182,X181))
| ~ v2_membered(X181) )
& ( v2_membered(k3_xboole_0(X182,X181))
| ~ v2_membered(X181) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc30_membered])])]) ).
fof(i_0_125,plain,
! [X175,X176] :
( ~ v1_membered(X175)
| v1_membered(k3_xboole_0(X175,X176)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc27_membered])]) ).
fof(i_0_126,plain,
! [X177,X178] :
( ~ v1_membered(X177)
| v1_membered(k3_xboole_0(X178,X177)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc28_membered])]) ).
fof(i_0_127,plain,
! [X206,X207] :
( ~ r2_hidden(X206,X207)
| m1_subset_1(X206,X207) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_128,plain,
! [X153,X154] :
( ( v1_xcmplx_0(X154)
| ~ m1_subset_1(X154,X153)
| ~ v5_membered(X153) )
& ( v4_ordinal2(X154)
| ~ m1_subset_1(X154,X153)
| ~ v5_membered(X153) )
& ( v1_xreal_0(X154)
| ~ m1_subset_1(X154,X153)
| ~ v5_membered(X153) )
& ( v1_int_1(X154)
| ~ m1_subset_1(X154,X153)
| ~ v5_membered(X153) )
& ( v1_rat_1(X154)
| ~ m1_subset_1(X154,X153)
| ~ v5_membered(X153) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc14_membered])])])]) ).
fof(i_0_129,plain,
! [X151,X152] :
( ( v1_xcmplx_0(X152)
| ~ m1_subset_1(X152,X151)
| ~ v4_membered(X151) )
& ( v1_xreal_0(X152)
| ~ m1_subset_1(X152,X151)
| ~ v4_membered(X151) )
& ( v1_int_1(X152)
| ~ m1_subset_1(X152,X151)
| ~ v4_membered(X151) )
& ( v1_rat_1(X152)
| ~ m1_subset_1(X152,X151)
| ~ v4_membered(X151) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc13_membered])])])]) ).
fof(i_0_130,plain,
! [X149,X150] :
( ( v1_xcmplx_0(X150)
| ~ m1_subset_1(X150,X149)
| ~ v3_membered(X149) )
& ( v1_xreal_0(X150)
| ~ m1_subset_1(X150,X149)
| ~ v3_membered(X149) )
& ( v1_rat_1(X150)
| ~ m1_subset_1(X150,X149)
| ~ v3_membered(X149) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc12_membered])])])]) ).
fof(i_0_131,plain,
! [X147,X148] :
( ( v1_xcmplx_0(X148)
| ~ m1_subset_1(X148,X147)
| ~ v2_membered(X147) )
& ( v1_xreal_0(X148)
| ~ m1_subset_1(X148,X147)
| ~ v2_membered(X147) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_membered])])])]) ).
fof(i_0_132,plain,
! [X145,X146] :
( ~ v1_membered(X145)
| ~ m1_subset_1(X146,X145)
| v1_xcmplx_0(X146) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc10_membered])])]) ).
fof(i_0_133,plain,
! [X228] :
( ( m1_subset_1(esk11_1(X228),k1_zfmisc_1(X228))
| v1_xboole_0(X228) )
& ( ~ v1_xboole_0(esk11_1(X228))
| v1_xboole_0(X228) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_79])])])]) ).
fof(i_0_134,plain,
! [X240,X241] :
( ~ r2_hidden(X240,X241)
| ~ v1_xboole_0(X241) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_135,plain,
! [X227] :
( v3_struct_0(X227)
| ~ l1_struct_0(X227)
| ~ v1_xboole_0(u1_struct_0(X227)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_80])]) ).
fof(i_0_136,plain,
! [X215,X216] : k3_xboole_0(X215,X216) = k3_xboole_0(X216,X215),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(i_0_137,plain,
! [X230] :
( m1_subset_1(esk12_1(X230),k1_zfmisc_1(X230))
& v1_xboole_0(esk12_1(X230)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(i_0_138,plain,
! [X251] : m1_subset_1(esk17_1(X251),X251),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_139,plain,
! [X264] : ~ v1_xboole_0(k1_zfmisc_1(X264)),
inference(variable_rename,[status(thm)],[i_0_81]) ).
fof(i_0_140,plain,
! [X242,X243] :
( ~ v1_xboole_0(X242)
| X242 = X243
| ~ v1_xboole_0(X243) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_141,plain,
! [X217] : k3_xboole_0(X217,X217) = X217,
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0])]) ).
fof(i_0_142,plain,
! [X218] : r1_tarski(X218,X218),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_143,plain,
! [X208] : k3_xboole_0(X208,k1_xboole_0) = k1_xboole_0,
inference(variable_rename,[status(thm)],[t2_boole]) ).
fof(i_0_144,plain,
! [X263] :
( ~ l1_pre_topc(X263)
| l1_struct_0(X263) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
fof(i_0_145,plain,
! [X220] :
( ( v1_membered(X220)
| ~ v1_xboole_0(X220) )
& ( v2_membered(X220)
| ~ v1_xboole_0(X220) )
& ( v3_membered(X220)
| ~ v1_xboole_0(X220) )
& ( v4_membered(X220)
| ~ v1_xboole_0(X220) )
& ( v5_membered(X220)
| ~ v1_xboole_0(X220) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc15_membered])])]) ).
fof(i_0_146,plain,
! [X163] :
( ~ v5_membered(X163)
| v4_membered(X163) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])]) ).
fof(i_0_147,plain,
! [X166] :
( ~ v4_membered(X166)
| v3_membered(X166) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])]) ).
fof(i_0_148,plain,
! [X167] :
( ~ v3_membered(X167)
| v2_membered(X167) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])]) ).
fof(i_0_149,plain,
! [X168] :
( ~ v2_membered(X168)
| v1_membered(X168) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_membered])]) ).
fof(i_0_150,plain,
! [X239] :
( ~ v1_xboole_0(X239)
| X239 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_151,plain,
( ~ v1_xboole_0(esk4_0)
& v1_membered(esk4_0)
& v2_membered(esk4_0)
& v3_membered(esk4_0)
& v4_membered(esk4_0)
& v5_membered(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_82])]) ).
fof(i_0_152,plain,
( l1_struct_0(esk13_0)
& ~ v3_struct_0(esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_83])]) ).
fof(i_0_153,plain,
l1_struct_0(esk10_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_struct_0])]) ).
fof(i_0_154,plain,
l1_pre_topc(esk16_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_pre_topc])]) ).
cnf(i_0_155,plain,
( v3_struct_0(X1)
| X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_156,negated_conjecture,
k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_157,plain,
( m1_subset_1(k5_subset_1(X2,X1,X3),k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_158,plain,
( k5_subset_1(X2,X1,X3) = k5_subset_1(X2,X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_159,plain,
( k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_160,plain,
( v4_pre_topc(X1,X2)
| ~ v3_pre_topc(X1,X2)
| ~ v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_161,plain,
( v2_tops_1(X1,X2)
| ~ v3_pre_topc(X1,X2)
| ~ v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_162,plain,
( v3_tops_1(X1,X2)
| ~ v4_pre_topc(X1,X2)
| ~ v2_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_163,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_164,plain,
( k5_subset_1(X2,X1,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_165,plain,
( m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_166,plain,
( v1_xboole_0(X1)
| ~ v3_pre_topc(X1,X2)
| ~ v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_167,plain,
( v5_membered(X1)
| ~ v3_pre_topc(X1,X2)
| ~ v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_168,plain,
( v4_membered(X1)
| ~ v3_pre_topc(X1,X2)
| ~ v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_169,plain,
( v3_membered(X1)
| ~ v3_pre_topc(X1,X2)
| ~ v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_170,plain,
( v2_membered(X1)
| ~ v3_pre_topc(X1,X2)
| ~ v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_171,plain,
( v1_membered(X1)
| ~ v3_pre_topc(X1,X2)
| ~ v3_tops_1(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_172,plain,
( v4_pre_topc(k6_pre_topc(X1,X2),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_173,plain,
( v2_tops_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tops_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_174,plain,
( v3_pre_topc(X1,X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_175,plain,
( v4_pre_topc(X1,X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_176,plain,
( v3_tops_1(X2,X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_177,plain,
( v2_tops_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_178,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_179,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_180,plain,
( m1_subset_1(esk15_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_181,plain,
( m1_subset_1(esk7_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_182,plain,
( m1_subset_1(esk18_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_183,plain,
( m1_subset_1(esk9_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_184,plain,
( m1_subset_1(esk6_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_185,plain,
( m1_subset_1(esk5_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_186,plain,
( m1_subset_1(esk14_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_187,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_188,plain,
( m1_subset_1(esk8_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_189,plain,
( ~ r2_hidden(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_190,plain,
( v5_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_191,plain,
( v4_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_192,plain,
( v4_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_193,plain,
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_194,plain,
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_195,plain,
( v3_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_196,plain,
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_197,plain,
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_198,plain,
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_199,plain,
( v2_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_200,plain,
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_201,plain,
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_202,plain,
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_203,plain,
( v1_membered(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_204,plain,
( v1_membered(X2)
| ~ v1_membered(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_205,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_206,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_207,plain,
( v3_pre_topc(esk7_1(X1),X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_208,plain,
( v4_pre_topc(esk15_1(X1),X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_209,plain,
( v4_pre_topc(esk7_1(X1),X1)
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_210,plain,
( v5_membered(k3_xboole_0(X1,X2))
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_211,plain,
( v5_membered(k3_xboole_0(X1,X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_212,plain,
( v4_membered(k3_xboole_0(X1,X2))
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_213,plain,
( v4_membered(k3_xboole_0(X1,X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_214,plain,
( v4_membered(k3_xboole_0(X1,X2))
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_215,plain,
( v4_membered(k3_xboole_0(X1,X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_216,plain,
( v3_membered(k3_xboole_0(X1,X2))
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_217,plain,
( v3_membered(k3_xboole_0(X1,X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_218,plain,
( v3_membered(k3_xboole_0(X1,X2))
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_219,plain,
( v3_membered(k3_xboole_0(X1,X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_220,plain,
( v3_membered(k3_xboole_0(X1,X2))
| ~ v3_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_221,plain,
( v3_membered(k3_xboole_0(X1,X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_222,plain,
( v2_membered(k3_xboole_0(X1,X2))
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_223,plain,
( v2_membered(k3_xboole_0(X1,X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_224,plain,
( v2_membered(k3_xboole_0(X1,X2))
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_225,plain,
( v2_membered(k3_xboole_0(X1,X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_226,plain,
( v2_membered(k3_xboole_0(X1,X2))
| ~ v3_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_227,plain,
( v2_membered(k3_xboole_0(X1,X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_228,plain,
( v2_membered(k3_xboole_0(X1,X2))
| ~ v2_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_229,plain,
( v2_membered(k3_xboole_0(X1,X2))
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_230,plain,
( v1_membered(k3_xboole_0(X1,X2))
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_231,plain,
( v1_membered(k3_xboole_0(X1,X2))
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_232,plain,
( v1_membered(k3_xboole_0(X1,X2))
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_233,plain,
( v1_membered(k3_xboole_0(X1,X2))
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_234,plain,
( v1_membered(k3_xboole_0(X1,X2))
| ~ v3_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_235,plain,
( v1_membered(k3_xboole_0(X1,X2))
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_236,plain,
( v1_membered(k3_xboole_0(X1,X2))
| ~ v2_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_237,plain,
( v1_membered(k3_xboole_0(X1,X2))
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_238,plain,
( v1_membered(k3_xboole_0(X1,X2))
| ~ v1_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_239,plain,
( v1_membered(k3_xboole_0(X2,X1))
| ~ v1_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_240,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_127]),
[final] ).
cnf(i_0_241,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(esk15_1(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_242,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(esk7_1(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_243,plain,
( v3_pre_topc(esk9_1(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_244,plain,
( v3_pre_topc(esk6_1(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_245,plain,
( v3_pre_topc(esk5_1(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_246,plain,
( v4_pre_topc(esk18_1(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_247,plain,
( v4_pre_topc(esk9_1(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_248,plain,
( v4_pre_topc(esk6_1(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_249,plain,
( v2_tops_1(esk9_1(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_250,plain,
( v3_tops_1(esk9_1(X1),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_251,plain,
( v4_ordinal2(X1)
| ~ m1_subset_1(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_252,plain,
( v1_int_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_253,plain,
( v1_int_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_254,plain,
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_255,plain,
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_256,plain,
( v1_rat_1(X1)
| ~ m1_subset_1(X1,X2)
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_257,plain,
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_258,plain,
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_259,plain,
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_260,plain,
( v1_xreal_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_261,plain,
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v5_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_128]),
[final] ).
cnf(i_0_262,plain,
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v4_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_129]),
[final] ).
cnf(i_0_263,plain,
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v3_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_130]),
[final] ).
cnf(i_0_264,plain,
( v1_xcmplx_0(X1)
| ~ m1_subset_1(X1,X2)
| ~ v2_membered(X2) ),
inference(split_conjunct,[status(thm)],[i_0_131]),
[final] ).
cnf(i_0_265,plain,
( v1_xcmplx_0(X2)
| ~ v1_membered(X1)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_132]),
[final] ).
cnf(i_0_266,plain,
( m1_subset_1(esk11_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_267,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_134]),
[final] ).
cnf(i_0_268,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(esk14_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_269,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_135]),
[final] ).
cnf(i_0_270,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[i_0_136]),
[final] ).
cnf(i_0_271,plain,
( v2_tops_1(esk8_1(X1),X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_272,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_273,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_274,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_275,plain,
( v1_xboole_0(esk9_1(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_276,plain,
( v5_membered(esk9_1(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_277,plain,
( v4_membered(esk9_1(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_278,plain,
( v3_membered(esk9_1(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_279,plain,
( v2_membered(esk9_1(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_280,plain,
( v1_membered(esk9_1(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_281,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_133]),
[final] ).
cnf(i_0_282,plain,
m1_subset_1(esk17_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_138]),
[final] ).
cnf(i_0_283,plain,
( v1_xboole_0(esk8_1(X1))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_284,plain,
( v5_membered(esk8_1(X1))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_285,plain,
( v4_membered(esk8_1(X1))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_286,plain,
( v3_membered(esk8_1(X1))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_287,plain,
( v2_membered(esk8_1(X1))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_288,plain,
( v1_membered(esk8_1(X1))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_289,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_139]),
[final] ).
cnf(i_0_290,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[i_0_140]),
[final] ).
cnf(i_0_291,plain,
k3_xboole_0(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[i_0_141]),
[final] ).
cnf(i_0_292,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_142]),
[final] ).
cnf(i_0_293,plain,
k3_xboole_0(X1,k1_xboole_0) = k1_xboole_0,
inference(split_conjunct,[status(thm)],[i_0_143]),
[final] ).
cnf(i_0_294,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[i_0_144]),
[final] ).
cnf(i_0_295,plain,
( v5_membered(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_296,plain,
( v4_membered(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_297,plain,
( v4_membered(X1)
| ~ v5_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_146]),
[final] ).
cnf(i_0_298,plain,
( v3_membered(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_299,plain,
( v3_membered(X1)
| ~ v4_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_147]),
[final] ).
cnf(i_0_300,plain,
( v2_membered(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_301,plain,
( v2_membered(X1)
| ~ v3_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_148]),
[final] ).
cnf(i_0_302,plain,
( v1_membered(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_145]),
[final] ).
cnf(i_0_303,plain,
( v1_membered(X1)
| ~ v2_membered(X1) ),
inference(split_conjunct,[status(thm)],[i_0_149]),
[final] ).
cnf(i_0_304,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_305,plain,
v1_xboole_0(esk12_1(X1)),
inference(split_conjunct,[status(thm)],[i_0_137]),
[final] ).
cnf(i_0_306,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[i_0_150]),
[final] ).
cnf(i_0_307,plain,
~ v1_xboole_0(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_308,plain,
~ v3_struct_0(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_309,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_310,plain,
l1_struct_0(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_152]),
[final] ).
cnf(i_0_311,plain,
l1_struct_0(esk10_0),
inference(split_conjunct,[status(thm)],[i_0_153]),
[final] ).
cnf(i_0_312,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_313,plain,
v5_membered(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_314,plain,
v5_membered(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_315,plain,
v4_membered(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_316,plain,
v4_membered(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_317,plain,
v3_membered(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_318,plain,
v3_membered(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_319,plain,
v2_membered(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_320,plain,
v2_membered(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_321,plain,
v1_membered(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_151]),
[final] ).
cnf(i_0_322,plain,
v1_membered(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]),
[final] ).
cnf(i_0_323,plain,
l1_pre_topc(esk16_0),
inference(split_conjunct,[status(thm)],[i_0_154]),
[final] ).
cnf(i_0_324,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_325,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_326,axiom,
X1 = X1 ).
cnf(i_0_327,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_328,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_329,axiom,
( X1 != X2
| k3_tex_4(X1,X3) = k3_tex_4(X2,X3) ) ).
cnf(i_0_330,axiom,
( X1 != X2
| k3_tex_4(X3,X1) = k3_tex_4(X3,X2) ) ).
cnf(i_0_331,axiom,
( X1 != X2
| k5_subset_1(X1,X3,X4) = k5_subset_1(X2,X3,X4) ) ).
cnf(i_0_332,axiom,
( X1 != X2
| k5_subset_1(X3,X1,X4) = k5_subset_1(X3,X2,X4) ) ).
cnf(i_0_333,axiom,
( X1 != X2
| k5_subset_1(X3,X4,X1) = k5_subset_1(X3,X4,X2) ) ).
cnf(i_0_334,axiom,
( X1 != X2
| k6_pre_topc(X1,X3) = k6_pre_topc(X2,X3) ) ).
cnf(i_0_335,axiom,
( X1 != X2
| k6_pre_topc(X3,X1) = k6_pre_topc(X3,X2) ) ).
cnf(i_0_336,axiom,
( X1 != X2
| k3_xboole_0(X1,X3) = k3_xboole_0(X2,X3) ) ).
cnf(i_0_337,axiom,
( X1 != X2
| k3_xboole_0(X3,X1) = k3_xboole_0(X3,X2) ) ).
cnf(i_0_338,axiom,
( X1 != X2
| ~ v3_struct_0(X1)
| v3_struct_0(X2) ) ).
cnf(i_0_339,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_340,axiom,
( X1 != X2
| ~ v5_membered(X1)
| v5_membered(X2) ) ).
cnf(i_0_341,axiom,
( X1 != X2
| ~ v4_membered(X1)
| v4_membered(X2) ) ).
cnf(i_0_342,axiom,
( X1 != X2
| ~ v3_membered(X1)
| v3_membered(X2) ) ).
cnf(i_0_343,axiom,
( X1 != X2
| ~ v2_membered(X1)
| v2_membered(X2) ) ).
cnf(i_0_344,axiom,
( X1 != X2
| ~ v1_membered(X1)
| v1_membered(X2) ) ).
cnf(i_0_345,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_346,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_347,axiom,
( X1 != X2
| ~ l1_struct_0(X1)
| l1_struct_0(X2) ) ).
cnf(i_0_348,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_349,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_350,axiom,
( X1 != X2
| ~ v4_ordinal2(X1)
| v4_ordinal2(X2) ) ).
cnf(i_0_351,axiom,
( X1 != X2
| ~ v2_pre_topc(X1)
| v2_pre_topc(X2) ) ).
cnf(i_0_352,axiom,
( X1 != X2
| ~ v1_int_1(X1)
| v1_int_1(X2) ) ).
cnf(i_0_353,axiom,
( X1 != X2
| ~ v1_rat_1(X1)
| v1_rat_1(X2) ) ).
cnf(i_0_354,axiom,
( X1 != X2
| ~ v1_xreal_0(X1)
| v1_xreal_0(X2) ) ).
cnf(i_0_355,axiom,
( X1 != X2
| ~ v1_xcmplx_0(X1)
| v1_xcmplx_0(X2) ) ).
cnf(i_0_356,axiom,
( X1 != X2
| ~ l1_pre_topc(X1)
| l1_pre_topc(X2) ) ).
cnf(i_0_357,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_358,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_359,axiom,
( X1 != X2
| ~ v1_tsp_2(X1,X3)
| v1_tsp_2(X2,X3) ) ).
cnf(i_0_360,axiom,
( X1 != X2
| ~ v1_tsp_2(X3,X1)
| v1_tsp_2(X3,X2) ) ).
cnf(i_0_361,axiom,
( X1 != X2
| ~ v4_pre_topc(X1,X3)
| v4_pre_topc(X2,X3) ) ).
cnf(i_0_362,axiom,
( X1 != X2
| ~ v4_pre_topc(X3,X1)
| v4_pre_topc(X3,X2) ) ).
cnf(i_0_363,axiom,
( X1 != X2
| ~ v3_pre_topc(X1,X3)
| v3_pre_topc(X2,X3) ) ).
cnf(i_0_364,axiom,
( X1 != X2
| ~ v3_pre_topc(X3,X1)
| v3_pre_topc(X3,X2) ) ).
cnf(i_0_365,axiom,
( X1 != X2
| ~ v3_tops_1(X1,X3)
| v3_tops_1(X2,X3) ) ).
cnf(i_0_366,axiom,
( X1 != X2
| ~ v3_tops_1(X3,X1)
| v3_tops_1(X3,X2) ) ).
cnf(i_0_367,axiom,
( X1 != X2
| ~ v2_tops_1(X1,X3)
| v2_tops_1(X2,X3) ) ).
cnf(i_0_368,axiom,
( X1 != X2
| ~ v2_tops_1(X3,X1)
| v2_tops_1(X3,X2) ) ).
cnf(i_0_326_001,axiom,
X1 = X1 ).
cnf(i_0_327_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_328_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_329_004,axiom,
( X1 != X2
| k3_tex_4(X1,X3) = k3_tex_4(X2,X3) ) ).
cnf(i_0_330_005,axiom,
( X1 != X2
| k3_tex_4(X3,X1) = k3_tex_4(X3,X2) ) ).
cnf(i_0_331_006,axiom,
( X1 != X2
| k5_subset_1(X1,X3,X4) = k5_subset_1(X2,X3,X4) ) ).
cnf(i_0_332_007,axiom,
( X1 != X2
| k5_subset_1(X3,X1,X4) = k5_subset_1(X3,X2,X4) ) ).
cnf(i_0_333_008,axiom,
( X1 != X2
| k5_subset_1(X3,X4,X1) = k5_subset_1(X3,X4,X2) ) ).
cnf(i_0_334_009,axiom,
( X1 != X2
| k6_pre_topc(X1,X3) = k6_pre_topc(X2,X3) ) ).
cnf(i_0_335_010,axiom,
( X1 != X2
| k6_pre_topc(X3,X1) = k6_pre_topc(X3,X2) ) ).
cnf(i_0_336_011,axiom,
( X1 != X2
| k3_xboole_0(X1,X3) = k3_xboole_0(X2,X3) ) ).
cnf(i_0_337_012,axiom,
( X1 != X2
| k3_xboole_0(X3,X1) = k3_xboole_0(X3,X2) ) ).
cnf(i_0_338_013,axiom,
( X1 != X2
| ~ v3_struct_0(X1)
| v3_struct_0(X2) ) ).
cnf(i_0_339_014,axiom,
( X1 != X2
| ~ v1_xboole_0(X1)
| v1_xboole_0(X2) ) ).
cnf(i_0_340_015,axiom,
( X1 != X2
| ~ v5_membered(X1)
| v5_membered(X2) ) ).
cnf(i_0_341_016,axiom,
( X1 != X2
| ~ v4_membered(X1)
| v4_membered(X2) ) ).
cnf(i_0_342_017,axiom,
( X1 != X2
| ~ v3_membered(X1)
| v3_membered(X2) ) ).
cnf(i_0_343_018,axiom,
( X1 != X2
| ~ v2_membered(X1)
| v2_membered(X2) ) ).
cnf(i_0_344_019,axiom,
( X1 != X2
| ~ v1_membered(X1)
| v1_membered(X2) ) ).
cnf(i_0_345_020,axiom,
( X1 != X2
| ~ r2_hidden(X1,X3)
| r2_hidden(X2,X3) ) ).
cnf(i_0_346_021,axiom,
( X1 != X2
| ~ r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ).
cnf(i_0_347_022,axiom,
( X1 != X2
| ~ l1_struct_0(X1)
| l1_struct_0(X2) ) ).
cnf(i_0_348_023,axiom,
( X1 != X2
| ~ r1_tarski(X1,X3)
| r1_tarski(X2,X3) ) ).
cnf(i_0_349_024,axiom,
( X1 != X2
| ~ r1_tarski(X3,X1)
| r1_tarski(X3,X2) ) ).
cnf(i_0_350_025,axiom,
( X1 != X2
| ~ v4_ordinal2(X1)
| v4_ordinal2(X2) ) ).
cnf(i_0_351_026,axiom,
( X1 != X2
| ~ v2_pre_topc(X1)
| v2_pre_topc(X2) ) ).
cnf(i_0_352_027,axiom,
( X1 != X2
| ~ v1_int_1(X1)
| v1_int_1(X2) ) ).
cnf(i_0_353_028,axiom,
( X1 != X2
| ~ v1_rat_1(X1)
| v1_rat_1(X2) ) ).
cnf(i_0_354_029,axiom,
( X1 != X2
| ~ v1_xreal_0(X1)
| v1_xreal_0(X2) ) ).
cnf(i_0_355_030,axiom,
( X1 != X2
| ~ v1_xcmplx_0(X1)
| v1_xcmplx_0(X2) ) ).
cnf(i_0_356_031,axiom,
( X1 != X2
| ~ l1_pre_topc(X1)
| l1_pre_topc(X2) ) ).
cnf(i_0_357_032,axiom,
( X1 != X2
| ~ m1_subset_1(X1,X3)
| m1_subset_1(X2,X3) ) ).
cnf(i_0_358_033,axiom,
( X1 != X2
| ~ m1_subset_1(X3,X1)
| m1_subset_1(X3,X2) ) ).
cnf(i_0_359_034,axiom,
( X1 != X2
| ~ v1_tsp_2(X1,X3)
| v1_tsp_2(X2,X3) ) ).
cnf(i_0_360_035,axiom,
( X1 != X2
| ~ v1_tsp_2(X3,X1)
| v1_tsp_2(X3,X2) ) ).
cnf(i_0_361_036,axiom,
( X1 != X2
| ~ v4_pre_topc(X1,X3)
| v4_pre_topc(X2,X3) ) ).
cnf(i_0_362_037,axiom,
( X1 != X2
| ~ v4_pre_topc(X3,X1)
| v4_pre_topc(X3,X2) ) ).
cnf(i_0_363_038,axiom,
( X1 != X2
| ~ v3_pre_topc(X1,X3)
| v3_pre_topc(X2,X3) ) ).
cnf(i_0_364_039,axiom,
( X1 != X2
| ~ v3_pre_topc(X3,X1)
| v3_pre_topc(X3,X2) ) ).
cnf(i_0_365_040,axiom,
( X1 != X2
| ~ v3_tops_1(X1,X3)
| v3_tops_1(X2,X3) ) ).
cnf(i_0_366_041,axiom,
( X1 != X2
| ~ v3_tops_1(X3,X1)
| v3_tops_1(X3,X2) ) ).
cnf(i_0_367_042,axiom,
( X1 != X2
| ~ v2_tops_1(X1,X3)
| v2_tops_1(X2,X3) ) ).
cnf(i_0_368_043,axiom,
( X1 != X2
| ~ v2_tops_1(X3,X1)
| v2_tops_1(X3,X2) ) ).
cnf(i_0_369,plain,
r1_tarski(esk3_0,u1_struct_0(esk1_0)),
inference(scs_inference,[],[i_0_273,i_0_187]) ).
cnf(i_0_370,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| r1_tarski(X1,X2) ),
inference(rename_variables,[],[i_0_187]) ).
cnf(i_0_371,plain,
l1_struct_0(esk1_0),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_187,i_0_294]) ).
cnf(i_0_372,plain,
( ~ l1_pre_topc(X1)
| l1_struct_0(X1) ),
inference(rename_variables,[],[i_0_294]) ).
cnf(i_0_373,plain,
X1 = k3_xboole_0(X1,X1),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_187,i_0_294,i_0_327]) ).
cnf(i_0_374,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_312,i_0_187,i_0_294,i_0_327,i_0_267]) ).
cnf(i_0_375,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(rename_variables,[],[i_0_267]) ).
cnf(i_0_376,plain,
v5_membered(esk12_1(X1)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_312,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295]) ).
cnf(i_0_377,plain,
( ~ v1_xboole_0(X1)
| v5_membered(X1) ),
inference(rename_variables,[],[i_0_295]) ).
cnf(i_0_378,plain,
v4_membered(esk12_1(X1)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_312,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296]) ).
cnf(i_0_379,plain,
( ~ v1_xboole_0(X1)
| v4_membered(X1) ),
inference(rename_variables,[],[i_0_296]) ).
cnf(i_0_380,plain,
v3_membered(esk12_1(X1)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_312,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298]) ).
cnf(i_0_381,plain,
( ~ v1_xboole_0(X1)
| v3_membered(X1) ),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_382,plain,
v2_membered(esk12_1(X1)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_312,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300]) ).
cnf(i_0_383,plain,
( ~ v1_xboole_0(X1)
| v2_membered(X1) ),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_384,plain,
v1_membered(esk12_1(X1)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_312,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302]) ).
cnf(i_0_385,plain,
( ~ v1_xboole_0(X1)
| v1_membered(X1) ),
inference(rename_variables,[],[i_0_302]) ).
cnf(i_0_386,plain,
m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_312,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157]) ).
cnf(i_0_387,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| m1_subset_1(k5_subset_1(X2,X1,X3),k1_zfmisc_1(X2)) ),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_388,plain,
k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk3_0) = k3_xboole_0(esk3_0,esk3_0),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_312,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159]) ).
cnf(i_0_389,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3) ),
inference(rename_variables,[],[i_0_159]) ).
cnf(i_0_390,plain,
k5_subset_1(u1_struct_0(esk1_0),esk3_0,esk3_0) = esk3_0,
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_312,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164]) ).
cnf(i_0_391,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k5_subset_1(X2,X1,X1) = X1
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(rename_variables,[],[i_0_164]) ).
cnf(i_0_392,plain,
m1_subset_1(k6_pre_topc(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_312,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165]) ).
cnf(i_0_393,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| m1_subset_1(k6_pre_topc(X2,X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(rename_variables,[],[i_0_165]) ).
cnf(i_0_394,plain,
~ r2_hidden(X1,esk12_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_312,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179]) ).
cnf(i_0_395,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_272]) ).
cnf(i_0_396,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| ~ r2_hidden(X3,X1) ),
inference(rename_variables,[],[i_0_179]) ).
cnf(i_0_397,plain,
v5_membered(esk17_1(k1_zfmisc_1(esk4_0))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_312,i_0_313,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190]) ).
cnf(i_0_398,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_399,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2)
| v5_membered(X1) ),
inference(rename_variables,[],[i_0_190]) ).
cnf(i_0_400,plain,
v4_membered(esk17_1(k1_zfmisc_1(esk4_0))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_312,i_0_313,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191]) ).
cnf(i_0_401,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_402,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2)
| v4_membered(X1) ),
inference(rename_variables,[],[i_0_191]) ).
cnf(i_0_403,plain,
v3_membered(esk17_1(k1_zfmisc_1(esk4_0))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_312,i_0_313,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193]) ).
cnf(i_0_404,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_405,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2)
| v3_membered(X1) ),
inference(rename_variables,[],[i_0_193]) ).
cnf(i_0_406,plain,
v2_membered(esk17_1(k1_zfmisc_1(esk4_0))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_312,i_0_313,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196]) ).
cnf(i_0_407,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_408,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2)
| v2_membered(X1) ),
inference(rename_variables,[],[i_0_196]) ).
cnf(i_0_409,plain,
v1_membered(esk17_1(k1_zfmisc_1(esk4_0))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_312,i_0_313,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200]) ).
cnf(i_0_410,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_411,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v5_membered(X2)
| v1_membered(X1) ),
inference(rename_variables,[],[i_0_200]) ).
cnf(i_0_412,plain,
r2_hidden(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_312,i_0_313,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206]) ).
cnf(i_0_413,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_289]) ).
cnf(i_0_414,plain,
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(rename_variables,[],[i_0_206]) ).
cnf(i_0_415,plain,
v4_ordinal2(esk17_1(esk4_0)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_312,i_0_313,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251]) ).
cnf(i_0_416,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_417,plain,
( ~ v5_membered(X1)
| v4_ordinal2(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_251]) ).
cnf(i_0_418,plain,
v1_int_1(esk17_1(esk4_0)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_312,i_0_313,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252]) ).
cnf(i_0_419,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_420,plain,
( ~ v5_membered(X1)
| v1_int_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_252]) ).
cnf(i_0_421,plain,
v1_int_1(esk17_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253]) ).
cnf(i_0_422,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_423,plain,
( ~ v4_membered(X1)
| v1_int_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_253]) ).
cnf(i_0_424,plain,
v1_rat_1(esk17_1(esk4_0)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254]) ).
cnf(i_0_425,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_426,plain,
( ~ v5_membered(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_254]) ).
cnf(i_0_427,plain,
v1_rat_1(esk17_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255]) ).
cnf(i_0_428,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_429,plain,
( ~ v4_membered(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_255]) ).
cnf(i_0_430,plain,
v1_rat_1(esk17_1(esk12_1(X1))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256]) ).
cnf(i_0_431,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_432,plain,
( ~ v3_membered(X1)
| v1_rat_1(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_256]) ).
cnf(i_0_433,plain,
v1_xreal_0(esk17_1(esk4_0)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257]) ).
cnf(i_0_434,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_435,plain,
( ~ v5_membered(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_257]) ).
cnf(i_0_436,plain,
v1_xreal_0(esk17_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258]) ).
cnf(i_0_437,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_438,plain,
( ~ v4_membered(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_258]) ).
cnf(i_0_439,plain,
v1_xreal_0(esk17_1(esk12_1(X1))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259]) ).
cnf(i_0_440,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_441,plain,
( ~ v3_membered(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_259]) ).
cnf(i_0_442,plain,
v1_xreal_0(esk17_1(esk17_1(k1_zfmisc_1(esk4_0)))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260]) ).
cnf(i_0_443,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_444,plain,
( ~ v2_membered(X1)
| v1_xreal_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_260]) ).
cnf(i_0_445,plain,
v1_xcmplx_0(esk17_1(esk4_0)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261]) ).
cnf(i_0_446,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_447,plain,
( ~ v5_membered(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_261]) ).
cnf(i_0_448,plain,
v1_xcmplx_0(esk17_1(k1_xboole_0)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262]) ).
cnf(i_0_449,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_450,plain,
( ~ v4_membered(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_262]) ).
cnf(i_0_451,plain,
v1_xcmplx_0(esk17_1(esk12_1(X1))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263]) ).
cnf(i_0_452,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_453,plain,
( ~ v3_membered(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_263]) ).
cnf(i_0_454,plain,
v1_xcmplx_0(esk17_1(esk17_1(k1_zfmisc_1(esk4_0)))),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264]) ).
cnf(i_0_455,plain,
m1_subset_1(esk17_1(X1),X1),
inference(rename_variables,[],[i_0_282]) ).
cnf(i_0_456,plain,
( ~ v2_membered(X1)
| v1_xcmplx_0(X2)
| ~ m1_subset_1(X2,X1) ),
inference(rename_variables,[],[i_0_264]) ).
cnf(i_0_457,plain,
k3_xboole_0(k3_xboole_0(X1,k1_xboole_0),k3_xboole_0(X1,k1_xboole_0)) = k1_xboole_0,
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_293,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_328]) ).
cnf(i_0_458,plain,
k3_xboole_0(X1,X1) = X1,
inference(rename_variables,[],[i_0_291]) ).
cnf(i_0_459,plain,
k1_xboole_0 != esk4_0,
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_307,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_293,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_328,i_0_339]) ).
cnf(i_0_460,plain,
~ r2_hidden(X1,k3_xboole_0(k1_xboole_0,k1_xboole_0)),
inference(scs_inference,[],[i_0_324,i_0_273,i_0_291,i_0_458,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_307,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_293,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_328,i_0_339,i_0_346]) ).
cnf(i_0_461,plain,
k3_xboole_0(X1,X1) = X1,
inference(rename_variables,[],[i_0_291]) ).
cnf(i_0_462,plain,
m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(scs_inference,[],[i_0_309,i_0_324,i_0_273,i_0_291,i_0_458,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_307,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_293,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_328,i_0_339,i_0_346,i_0_163]) ).
cnf(i_0_463,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| m1_subset_1(k3_tex_4(X2,X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| v3_struct_0(X2) ),
inference(rename_variables,[],[i_0_163]) ).
cnf(i_0_464,plain,
v4_pre_topc(k6_pre_topc(esk1_0,esk3_0),esk1_0),
inference(scs_inference,[],[i_0_309,i_0_324,i_0_325,i_0_273,i_0_291,i_0_458,i_0_272,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_307,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_293,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_328,i_0_339,i_0_346,i_0_163,i_0_172]) ).
cnf(i_0_465,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v4_pre_topc(k6_pre_topc(X2,X1),X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(rename_variables,[],[i_0_172]) ).
cnf(i_0_466,plain,
v2_tops_1(esk12_1(u1_struct_0(esk1_0)),esk1_0),
inference(scs_inference,[],[i_0_309,i_0_324,i_0_325,i_0_273,i_0_291,i_0_458,i_0_272,i_0_395,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_307,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_293,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_328,i_0_339,i_0_346,i_0_163,i_0_172,i_0_177]) ).
cnf(i_0_467,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_272]) ).
cnf(i_0_468,plain,
v1_xboole_0(esk12_1(X1)),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_469,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v1_xboole_0(X1)
| v2_tops_1(X1,X2) ),
inference(rename_variables,[],[i_0_177]) ).
cnf(i_0_470,plain,
v3_pre_topc(esk12_1(u1_struct_0(esk1_0)),esk1_0),
inference(scs_inference,[],[i_0_309,i_0_324,i_0_325,i_0_273,i_0_291,i_0_458,i_0_272,i_0_395,i_0_467,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_307,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_468,i_0_293,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_328,i_0_339,i_0_346,i_0_163,i_0_172,i_0_177,i_0_174]) ).
cnf(i_0_471,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_272]) ).
cnf(i_0_472,plain,
v1_xboole_0(esk12_1(X1)),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_473,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_xboole_0(X1)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| v3_pre_topc(X1,X2) ),
inference(rename_variables,[],[i_0_174]) ).
cnf(i_0_474,plain,
v4_pre_topc(esk12_1(u1_struct_0(esk1_0)),esk1_0),
inference(scs_inference,[],[i_0_309,i_0_324,i_0_325,i_0_273,i_0_291,i_0_458,i_0_272,i_0_395,i_0_467,i_0_471,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_307,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_468,i_0_472,i_0_293,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_328,i_0_339,i_0_346,i_0_163,i_0_172,i_0_177,i_0_174,i_0_175]) ).
cnf(i_0_475,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_272]) ).
cnf(i_0_476,plain,
v1_xboole_0(esk12_1(X1)),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_477,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_xboole_0(X1)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| v4_pre_topc(X1,X2) ),
inference(rename_variables,[],[i_0_175]) ).
cnf(i_0_478,plain,
v3_tops_1(esk12_1(u1_struct_0(esk1_0)),esk1_0),
inference(scs_inference,[],[i_0_309,i_0_324,i_0_325,i_0_273,i_0_291,i_0_458,i_0_272,i_0_395,i_0_467,i_0_471,i_0_475,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_307,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_468,i_0_472,i_0_476,i_0_293,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_328,i_0_339,i_0_346,i_0_163,i_0_172,i_0_177,i_0_174,i_0_175,i_0_176]) ).
cnf(i_0_479,plain,
m1_subset_1(esk12_1(X1),k1_zfmisc_1(X1)),
inference(rename_variables,[],[i_0_272]) ).
cnf(i_0_480,plain,
v1_xboole_0(esk12_1(X1)),
inference(rename_variables,[],[i_0_305]) ).
cnf(i_0_481,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ v1_xboole_0(X1)
| v3_tops_1(X1,X2) ),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_482,plain,
$false,
inference(scs_inference,[],[i_0_156,i_0_304,i_0_309,i_0_324,i_0_325,i_0_273,i_0_274,i_0_291,i_0_458,i_0_272,i_0_395,i_0_467,i_0_471,i_0_475,i_0_282,i_0_398,i_0_401,i_0_404,i_0_407,i_0_410,i_0_416,i_0_419,i_0_422,i_0_425,i_0_428,i_0_431,i_0_434,i_0_437,i_0_440,i_0_443,i_0_446,i_0_449,i_0_452,i_0_307,i_0_312,i_0_313,i_0_316,i_0_289,i_0_305,i_0_468,i_0_472,i_0_476,i_0_293,i_0_187,i_0_294,i_0_327,i_0_267,i_0_295,i_0_296,i_0_298,i_0_300,i_0_302,i_0_157,i_0_159,i_0_164,i_0_165,i_0_179,i_0_190,i_0_191,i_0_193,i_0_196,i_0_200,i_0_206,i_0_251,i_0_252,i_0_253,i_0_254,i_0_255,i_0_256,i_0_257,i_0_258,i_0_259,i_0_260,i_0_261,i_0_262,i_0_263,i_0_264,i_0_328,i_0_339,i_0_346,i_0_163,i_0_172,i_0_177,i_0_174,i_0_175,i_0_176,i_0_155]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : TOP026+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 09:55:15 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 5.25/5.52 % Version : CSE_E---1.7
% 5.25/5.52 % Problem : theBenchmark.p
% 5.25/5.52 % SZS status Theorem for theBenchmark.p
% 5.25/5.52 % SZS output start CNFRefutation
% See solution above
% 6.03/5.98 % Total time : 5.268s
%------------------------------------------------------------------------------